Introduction to sh Lie algebras for physicists

Details Introduction to sh Lie algebras for physicists Introduction to sh Lie algebras for physicists

1992-09-24

arxiv.org/abs/hep-th/9209099v1

Int.J.Theor.Phys. 32 (1993) 1087-1104

Physics

High Energy Physics

High Energy Physics - Theory

14 pages AMSTEX, UNC-MATH-92/2

Scientific paper

10.1007/BF00671791

Closed string field theory leads to a generalization of Lie algebra which arose naturally within mathematics in the study of deformations of algebraic structures. It also appeared in work on higher spin particles \cite{BBvD}. Representation theoretic analogs arose in the mathematical analysis of the Batalin-Fradkin-Vilkovisky approach to constrained Hamiltonians. A major goal of this paper is to see the relevant formulas, especially in closed string field theory, as a generalization of those for a differential graded Lie algebra, hopefully describing the mathematical essentials in terms accessible to {\it physicists}.

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